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3481838085 = 3511171976301
BaseRepresentation
bin1100111110001000…
…1010001000000101
322222122200200221010
43033202022020011
524112322304320
61333255512433
7152166064305
oct31742121005
98878620833
103481838085
111527452540
12812088719
1343647aa2b
142505d1605
15155a20ae0
hexcf88a205

3481838085 has 64 divisors (see below), whose sum is σ = 6468574464. Its totient is φ = 1580544000.

The previous prime is 3481838071. The next prime is 3481838089. The reversal of 3481838085 is 5808381843.

It is not a de Polignac number, because 3481838085 - 24 = 3481838069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481838089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549435 + ... + 555735.

It is an arithmetic number, because the mean of its divisors is an integer number (101071476).

Almost surely, 23481838085 is an apocalyptic number.

It is an amenable number.

3481838085 is a deficient number, since it is larger than the sum of its proper divisors (2986736379).

3481838085 is a wasteful number, since it uses less digits than its factorization.

3481838085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534.

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 3481838085 is about 59007.1019878116. The cubic root of 3481838085 is about 1515.6637268653.

The spelling of 3481838085 in words is "three billion, four hundred eighty-one million, eight hundred thirty-eight thousand, eighty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 197 255 561 591 935 985 2167 2805 2955 3349 6301 6501 10047 10835 16745 18903 31505 32505 36839 50235 69311 94515 107117 110517 184195 207933 321351 346555 535585 552585 1039665 1178287 1241297 1606755 3534861 3723891 5891435 6206485 13654267 17674305 18619455 21102049 40962801 63306147 68271335 105510245 204814005 232122539 316530735 696367617 1160612695 3481838085